Search a number
-
+
46968466896 = 243813127271
BaseRepresentation
bin101011101111100010…
…011110110111010000
311111020022110100000000
4223233202132313100
51232142411420041
633324345130000
73251631244551
oct535742366720
9144208410000
1046968466896
1118a1252539a
129129789900
134576997760
1423b7c7a328
15134d672bb6
hexaef89edd0

46968466896 has 360 divisors, whose sum is σ = 148698927104. Its totient is φ = 14285134080.

The previous prime is 46968466873. The next prime is 46968466931. The reversal of 46968466896 is 69866486964.

46968466896 is a `hidden beast` number, since 469 + 6 + 84 + 6 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173315241 + ... + 173315511.

Almost surely, 246968466896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46968466896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74349463552).

46968466896 is an abundant number, since it is smaller than the sum of its proper divisors (101730460208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46968466896 is a wasteful number, since it uses less digits than its factorization.

46968466896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 416 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 46968466896 in words is "forty-six billion, nine hundred sixty-eight million, four hundred sixty-six thousand, eight hundred ninety-six".